106845 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 53504.

The previous prime is 106823. The next prime is 106853. The reversal of 106845 is 548601.

It is a cyclic number.

It is not a de Polignac number, because 106845 - 2⁶ = 106781 is a prime.

It is a super-2 number, since 2×106845² = 22831708050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹⁰⁶⁸⁴⁵ is an apocalyptic number.

106845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106845 is a deficient number, since it is larger than the sum of its proper divisors (74595).

106845 is a wasteful number, since it uses less digits than its factorization.

106845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106845 is about 326.8715343985. The cubic root of 106845 is about 47.4516590378.

The spelling of 106845 in words is "one hundred six thousand, eight hundred forty-five".